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Prerequisites
2.006
Grading
The grade will be based on homework and class participation and a term project as follows:
Homework and Class Participation |
60% |
Term Project |
40% |
|
The homework assignments will apply the material covered in lectures and are essential to learning that material. They will involve theory, modeling, and a few design exercises. The term project, comprised of a short oral presentation and a term paper, will be based on a student-selected topic related to some aspect of compressible fluid flow.
Textbooks and Reference Books
A number of excellent textbooks have been written on compressible fluid dynamics and related subjects. Three primary texts are used for this course (note that only one is required).
Primary Texts
Thompson, P. A. Compressible Fluid Dynamics. New York, NY: McGraw-Hill, 1972. ISBN: 9780070644052. (Required)
This book is out of print, but reprints may be available from some university bookstores.
Landau, L. D., and E. M. Lifshitz. Fluid Mechanics. 2nd ed. Woburn, MA: Butterworth-Heinemann, 1995.
Liepmann, H. W., and A. Roshko. Elements of Gas Dynamics. Mineola, NY: Dover Publications, 2001. Originally from Wiley, 1957.
Reference Books
Oosthuizen, P. H., and W. E. Carscallen. Compressible Fluid Flow. New York: McGraw-Hill, 1997.
Saad, M. A. Compressible Fluid Flow. 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1993.
White, F. M. Viscous Fluid Flow. 2nd ed. New York: McGraw-Hill, 1991.
Good material on compressible boundary layer flows.
Zel'dovich, Ya. B., and Yu. P. Raizer. Physics of Shock Waves and High-Temperature Hydrodynamics Phenomena. Mineola NY: Dover Publications, 2002.
Originally in two volumes from Academic Press, 1967; covers a wide range of advanced topics.
Courant, R., and K. O. Friedrichs. Supersonic Flow and Shock Waves. New York: Springer-Verlag, 1976.
Shapiro, A. H. Compressible Fluid Flow 1 and 2. Hoboken NJ: John Wiley & Sons, 1953.
Good coverage of one-dimensional flow.
Anderson, J. D. Modern Compressible Flow with Historical Perspective. 2nd ed. New York: McGraw-Hill, 1990.
Written from an aerodynamicists's perspective.
Vincenti, W. G., and C. H. Kruger. Introduction to Physical Gas Dynamics. Melbourne, FL: Krieger, 1975.
Good on molecular phenomena and shock wave structure.
Calendar
LEC #
|
TOPICS
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KEY DATES
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1
|
Mass Conservation, Euler's Equation
Sound Speed, Mach Number
|
|
2
|
Thermo
Ideal Gases
Steady Isentropic Flow, Stagnation State
|
Problem set 1 out (7 days after session 2)
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3
|
Variable Area Flow, Choked Flow, Subsonic and Supersonic Nozzles, Restrictors
|
|
4
|
Energy Equation
Entropy Equation
Flow with Fricton, Fanno Line
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Problem set 1 due
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5
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Flow with Heat Addition, Rayleigh Line
Shock Waves: Conservation Relations
|
|
6
|
Hugoniot Relation, Normal Shocks, Moving Shocks, Weak and Strong Shocks
|
Problem set 2 out
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7
|
Oblique Shocks
Detonations
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Problem set 2 due
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8
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Continuum Shock Wave Structure
Condensation Discontinuities
Unsteady 1D Flows: Finite Amplitude Waves, Characteristics, Riemann Invariants
|
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9
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Piston Problems, Boundary Interactions, Shock Tubes
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Problem set 3 out
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10
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Steady 2D Supersonic Flows: Mach Waves, Prandtl-Meyer Function, Expansion Fans
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Problem set 3 due
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11-12
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Term Paper Presentations
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Final project due
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